(Solved): a. Formulate the hypothesis test that can be used to determine whether there has been an increase ...

a. Formulate the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period. Let \( p_{1}= \) population proportion of rooms occupied for current year \( p_{2}= \) population proportion of rooms occupied for previous year \begin{tabular}{lll|} \( H_{0}: p_{1}-p_{2} \) & less than or equal to 0 & \( \vee \) \\ \( H_{a}: p_{1}-p_{2} \) & greater than 0 & \( \checkmark \) \\ \hline \end{tabular} b. What is the estimated proportion of hotel rooms occupied each year (to 2 decimals)? \begin{tabular}{l|l|} \hline Current year & \( \mathbf{0 . 8 6} \) \\ \hline Previous Year & \( \mathbf{0 . 8 3} \) \\ \hline \end{tabular} c. Conduct a hypothesis test. What is the \( p \)-value (to 4 decimals)? Use Table 1 from Appendix B. \( p \)-value \( = \) Using a \( 0.05 \) level of significance, what is your conclusion? We can conclude that there has been an increase in the hotel occupancy rate. d. What is the \( 95 \% \) confidence interval estimate of the change in occupancy for the one-year period (to 4 decimals)? Do you think area officials would be pleased with the results? Officials would likely be pleased with the occupancy statistics as the trend for the current year is an increase in hotel occupancy rates compared to last year.